Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×#836 |
| Sylow | C3×C9 ⋊ #101 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
189 conjugacy classes — view the full character table.
| maximal subgroup of | #13135207, #13135208, #13135209, … |
| maximal normal subgroup of | #13135207, #13135208, #13135209, … |
| maximal quotient of | C9×#4528, C9×#4530, C9×#4543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 463);